Inequalities for the Heinz mean of sector matrices

DOI10.1007/s41980-020-00357-xzbMath1455.15006OpenAlexW3005304835MaRDI QIDQ826590

Yaping Mao, Yanling Mao

Publication date: 5 January 2021

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00357-x

zbMATH Keywords

inequalitysingular valuesHeinz meansector matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Miscellaneous inequalities involving matrices (15A45)

Related Items

Mean inequalities for sector matrices involving positive linear maps ⋮ More inequalities on numerical radii of sectorial matrices ⋮ On the weighted chaotic identric mean of two accretive matrices ⋮ Inequalities for the Heinz mean of sector matrices involving positive linear maps ⋮ Inequalities for arithmetic–geometric–harmonic means of sector matrices

Cites Work

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• Some refinements of classical inequalities
• An extension of the AM-GM-HM inequality
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• A property of the geometric mean of accretive operators
• A matrix decomposition and its applications
• An extension of Hartfiel's determinant inequality
• Singular value inequalities for matrices with numerical ranges in a sector
• Generalization of Heinz operator inequalities via hyperbolic functions